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Finding the Fourth Proportional to 9,991.13, 14,978.93 and 6,473.70

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Solution

The fourth proportional to 9,991.13, 14,978.93 and 6,473.70 is: 9,705.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,991.13 : 14,978.93 = 6,473.70 : x
  2. Step 2: Convert to fraction form
    9,991.13/14,978.93 = 6,473.70/x
  3. Step 3: Cross multiply
    9,991.13x = 14,978.93 × 6,473.70
  4. Step 4: Simplify right side
    9,991.13x = 96,969,115.33
  5. Step 5: Solve for x
    x = 96,969,115.33/9,991.13
  6. Step 6: Final answer
    x = 9,705.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.